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We extend answer set semantics to deal with inconsistent programs (containing classical negation), by finding a ``best'' answer set. Within the context of inconsistent programs, it is natural to have a partial order on rules, representing a…

Logic in Computer Science · Computer Science 2007-05-23 Davy Van Nieuwenborgh , Dirk Vermeir

Population protocols are a relatively novel computational model in which very resource-limited anonymous agents interact in pairs with the goal of computing predicates. We consider the probabilistic version of this model, which naturally…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Vladyslav Melnychuk

A robust model predictive control scheme for a class of constrained norm-bounded uncertain discrete-time linear systems is developed under the hypothesis that only partial state measurements are available for feedback. Off-line calculations…

Systems and Control · Computer Science 2018-07-23 Giuseppe Franzè , Massimiliano Mattei , Luciano Ollio , Valerio Scordamaglia

Asking for the optimal protocol of an external control parameter that minimizes the mean work required to drive a nano-scale system from one equilibrium state to another in finite time, Schmiedl and Seifert ({\it Phys. Rev. Lett.} {\bf 98},…

Statistical Mechanics · Physics 2008-04-14 Holger Then , Andreas Engel

For many optimization problems in machine learning, finding an optimal solution is computationally intractable and we seek algorithms that perform well in practice. Since computational intractability often results from pathological…

Machine Learning · Computer Science 2021-02-25 Eric Balkanski , Sharon Qian , Yaron Singer

We present an approach to approximate reachable sets for linear systems with bounded L-infinity controls in finite time. Our first approach investigates the boundaries of these sets and reveals an exact characterization for single-input,…

Optimization and Control · Mathematics 2026-03-18 Steven Nguyen , Jorge Cortés , Boris Kramer

The community of program optimisation and analysis, code performance evaluation, parallelisation and optimising compilation has published since many decades hundreds of research and engineering articles in major conferences and journals.…

Performance · Computer Science 2009-07-06 Sid Touati

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

We initiate a formal study of reproducibility in optimization. We define a quantitative measure of reproducibility of optimization procedures in the face of noisy or error-prone operations such as inexact or stochastic gradient computations…

Optimization and Control · Mathematics 2022-12-06 Kwangjun Ahn , Prateek Jain , Ziwei Ji , Satyen Kale , Praneeth Netrapalli , Gil I. Shamir

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

Data Structures and Algorithms · Computer Science 2015-11-24 Ger Yang , Evdokia Nikolova

We study the properties of the constructive linear programing problems. The parameters of linear functions in such problems are constructive real numbers. To solve such a problem is to find the optimal plan with the constructive real number…

Optimization and Control · Mathematics 2024-04-24 Viktor Chernov , Vladimir Chernov

A fundamental concept in control theory is that of controllability, where any system state can be reached through an appropriate choice of control inputs. Indeed, a large body of classical and modern approaches are designed for controllable…

Optimization and Control · Mathematics 2022-06-13 Yonathan Efroni , Sham Kakade , Akshay Krishnamurthy , Cyril Zhang

We consider the problem of detecting a small subset of defective items from a large set via non-adaptive "random pooling" group tests. We consider both the case when the measurements are noiseless, and the case when the measurements are…

Information Theory · Computer Science 2011-07-25 Chun Lam Chan , Pak Hou Che , Sidharth Jaggi , Venkatesh Saligrama

Inspired by regularization techniques in statistics and machine learning, we study complementary composite minimization in the stochastic setting. This problem corresponds to the minimization of the sum of a (weakly) smooth function endowed…

Machine Learning · Computer Science 2024-01-24 Alexandre d'Aspremont , Cristóbal Guzmán , Clément Lezane

Many optimization problems of interest are known to be intractable, and while there are often heuristics that are known to work on typical instances, it is usually not easy to determine a posteriori whether the optimal solution was found.…

Optimization and Control · Mathematics 2015-09-03 Afonso S. Bandeira

This paper studies binary linear programming problems in the presence of uncertainties that may cause solution values to change during implementation. This type of uncertainty, termed implementation uncertainty, is modeled explicitly…

Optimization and Control · Mathematics 2021-09-29 Jose E. Ramirez-Calderon , V. Jorge Leon

The paper studies the expectation of the inspection time in complex aging systems. Under reasonable assumptions, this problem is reduced to studying the expectation of the length of the shortest path in the directed degradation graph of the…

Statistics Theory · Mathematics 2016-02-16 Stephane Chretien , Franck Corset

We examine a fundamental problem that models various active sampling setups, such as network tomography. We analyze sampling of a multivariate normal distribution with an unknown expectation that needs to be estimated: in our setup it is…

Machine Learning · Statistics 2012-08-14 Assaf Hallak , Shie Mannor

Linear principal component analysis (PCA) can be extended to a nonlinear PCA by using artificial neural networks. But the benefit of curved components requires a careful control of the model complexity. Moreover, standard techniques for…

Machine Learning · Computer Science 2012-04-04 Matthias Scholz

This paper proposes an Adaptive Learning Model Predictive Control strategy for uncertain constrained linear systems performing iterative tasks. The additive uncertainty is modeled as the sum of a bounded process noise and an unknown…

Systems and Control · Computer Science 2018-04-27 Monimoy Bujarbaruah , Xiaojing Zhang , Ugo Rosolia , Francesco Borrelli